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Finding the Fourth Proportional to 791.82, 1,092.80 and 442.51

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Solution

The fourth proportional to 791.82, 1,092.80 and 442.51 is: 610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.82 : 1,092.80 = 442.51 : x
  2. Step 2: Convert to fraction form
    791.82/1,092.80 = 442.51/x
  3. Step 3: Cross multiply
    791.82x = 1,092.80 × 442.51
  4. Step 4: Simplify right side
    791.82x = 483,574.93
  5. Step 5: Solve for x
    x = 483,574.93/791.82
  6. Step 6: Final answer
    x = 610.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.